58541 has 4 divisors (see below), whose sum is σ = 66912. Its totient is φ = 50172.

The previous prime is 58537. The next prime is 58543. The reversal of 58541 is 14585.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 14585 = 5 ⋅2917.

It is a cyclic number.

It is not a de Polignac number, because 58541 - 2² = 58537 is a prime.

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58543) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4175 + ... + 4188.

It is an arithmetic number, because the mean of its divisors is an integer number (16728).

2⁵⁸⁵⁴¹ is an apocalyptic number.

It is an amenable number.

58541 is a deficient number, since it is larger than the sum of its proper divisors (8371).

58541 is an equidigital number, since it uses as much as digits as its factorization.

58541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8370.

The product of its digits is 800, while the sum is 23.

The square root of 58541 is about 241.9524746722. The cubic root of 58541 is about 38.8287472506.

Adding to 58541 its sum of digits (23), we get a square (58564 = 242²).

Subtracting from 58541 its reverse (14585), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 585 and 41, that added together give a palindrome (626).

The spelling of 58541 in words is "fifty-eight thousand, five hundred forty-one".